Practice Test GeeksAIME - American Invitational Mathematics Examination Practice Test
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Geometry Flashcards

6 cards from real AIME practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Geometry flashcards as text

  1. A circle has center (3, -1) and passes through (7, -1). What is its area?

    Answer: 16π

    The radius is the distance from center to point: |7-3|=4, so area=π(4)^2=16π.

  2. In a right triangle with legs 5 and 12, what is the length of the hypotenuse?

    Answer: 13

    By the Pythagorean theorem, √(25+144)=√169=13.

  3. Two parallel lines are cut by a transversal. If one interior angle is 65°, what is the co-interior (same-side interior) angle?

    Answer: 115°

    Co-interior angles are supplementary, so 180°-65°=115°.

  4. A rectangle has perimeter 36 and width 6. What is its area?

    Answer: 72

    Length=(36-12)/2=12; area=12×6=72.

  5. What is the area of an equilateral triangle with side length 4?

    Answer: 4√3

    Area = (√3/4)×4^2=(√3/4)×16=4√3.

  6. A sector of a circle has radius 6 and central angle 60°. What is the arc length?

    Answer: 2π

    Arc length = (60/360)×2π×6=2π.